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Finding the Fourth Proportional to 14,564.99, 20,091.57 and 10,091.36

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Solution

The fourth proportional to 14,564.99, 20,091.57 and 10,091.36 is: 13,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.99 : 20,091.57 = 10,091.36 : x
  2. Step 2: Convert to fraction form
    14,564.99/20,091.57 = 10,091.36/x
  3. Step 3: Cross multiply
    14,564.99x = 20,091.57 × 10,091.36
  4. Step 4: Simplify right side
    14,564.99x = 202,751,265.84
  5. Step 5: Solve for x
    x = 202,751,265.84/14,564.99
  6. Step 6: Final answer
    x = 13,920.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.